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Finding the Fourth Proportional to 10,618.77, 15,928.35 and 2,827.50

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Solution

The fourth proportional to 10,618.77, 15,928.35 and 2,827.50 is: 4,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.77 : 15,928.35 = 2,827.50 : x
  2. Step 2: Convert to fraction form
    10,618.77/15,928.35 = 2,827.50/x
  3. Step 3: Cross multiply
    10,618.77x = 15,928.35 × 2,827.50
  4. Step 4: Simplify right side
    10,618.77x = 45,037,409.63
  5. Step 5: Solve for x
    x = 45,037,409.63/10,618.77
  6. Step 6: Final answer
    x = 4,241.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.